There's a parking lot next to the penitentiary. You have to pay but there's also street parking.
We parked right out front of the entrance. No meters. Didn't have to pay.
I believe it's on street parking but not sure if there are any restrictions for non residents. There didn't seem to be when we visited last month.
Good question , check on the website just in case you do have to pay , you might be able to use your admission ticket to get a maybe discount for parking or you can call just to be sure .
You can park on some streets nearby for free
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